{
  "id": "0806.1538",
  "version": "v1",
  "published": "2008-06-09T21:09:14.000Z",
  "updated": "2008-06-09T21:09:14.000Z",
  "title": "A basis of bideterminants for the coordinate ring of the orthogonal group",
  "authors": [
    "Gerald Cliff"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a basis of bideterminants for the coordinate ring K[O(n)] of the orthogonal group O(n,K), where K is an infinite field of characteristic not 2. The bideterminants are indexed by pairs of Young tableaux which are O(n)-standard in the sense of King-Welsh. We also give an explicit filtration of K[O(n)] as an O(n,K)-bimodule, whose factors are isormorphic to the tensor product of orthogonal analogues of left and right Schur modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-09T21:09:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "orthogonal group",
      "coordinate ring",
      "bideterminants",
      "right schur modules",
      "infinite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1538C"
    }
  }
}